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Finding the Fourth Proportional to 204,578.10, 305,486.87 and 167,213.34

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Solution

The fourth proportional to 204,578.10, 305,486.87 and 167,213.34 is: 249,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,578.10 : 305,486.87 = 167,213.34 : x
  2. Step 2: Convert to fraction form
    204,578.10/305,486.87 = 167,213.34/x
  3. Step 3: Cross multiply
    204,578.10x = 305,486.87 × 167,213.34
  4. Step 4: Simplify right side
    204,578.10x = 51,081,479,022.78
  5. Step 5: Solve for x
    x = 51,081,479,022.78/204,578.10
  6. Step 6: Final answer
    x = 249,691.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.